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FINAL TOTAL RESOLUTION [RES377] · 5-CARD PROOF

Player 4 + 2 (2) vs. Banker 6 (Stands at 6): 5-Card Resolution #377

In walkthrough RES377, Player opens with 2+2 (4) and draws fifth-card 2 (2) for a modulo-10 total of 6, while Banker opens with 3+3 (6) and stands pat at 6 (5-card T outcome).

RES377 Player Path
P:4->6
RES377 Banker Path
B:6->6
RES377 Deal Length
5 Cards
RES377 Showdown
T (6v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P P B B B B P P B P P P B B B P B
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = ≠ ≠ =

Scoreboard sequence paired with 5-card resolution RES377 (P4+2->6 vs B6->6).

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #3

Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

RES377 Four-Card Opening Deal
Player 2+2=4 vs Banker 3+3=6

Verified non-natural start via handTotal([2,2])=4 and handTotal([3,3])=6.

RES377 Fifth-Card Modulo Proof
(4 + 2) mod 10 = 6 via 2

Player draws fifth-card 2 (value 2), transforming two-card 4 into three-card 6.

RES377 Banker Tableau Lookup
BANKER_TABLEAU[6][2] = false

Banker 6 stands pat at 6 without pulling sixth-card 10 (0).

RES377 Card Count & Winner
5 Cards -> T (6 vs 6)

Computed directly from resolveHand() with zero discretionary dealer options.

RES377 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not T vs B.

MODULO-10 ARITHMETIC · RES377

Step-by-Step Card Arithmetic for RES377: P(2+2)+2 vs B(3+3)

Hand record [RES377] tracks Player 4 (2+2) facing Banker 6 (3+3); with zero naturals on the felt, the fifth card 2 (worth 2) arrives and 6 calculates the mod-10 residue to 6.

[RES377-B] Inspecting 2=2 via 6-point two-value trigger (6..7) in [RES377], Banker 6 stands at 6; 10 (0) stays in the shoe instead of 6.

Complete 5-Card Resolution Trace for RES377
RES377 StageRES377 CardsRES377 Modulo MathRES377 Status
[RES377:Init]P(2+2)=4 vs B(3+3)=6playerShouldDraw(4)=true4-Card Deal
[RES377:5th]Player +2 (2)(4+2) mod 10 = 65th Card Sideways
[RES377:6th]Banker Stands (skip 10=0)Locked at 65-Card Final
[RES377:Settle]P=6 vs B=6Winner: TBig Road +T
  • [RES377-1] Confirm [RES377] opening P=4 (2+2) and B=6 (3+3) lack Natural 8/9.
  • [RES377-2] Add [RES377] fifth-card 2 (2) to P=4 for (4+2) mod 10 = 6.
  • [RES377-3] Run [RES377] BANKER_TABLEAU[6][2]=false to settle 6 vs 6 (T).
SETTLEMENT & SCOREBOARD · RES377

Showdown Settlement & Scoreboard Logging for RES377 (6 vs 6)

[RES377-C0] Comparing [RES377] final totals (5c), Player 6 vs Banker 6 awards [RES377] to Tie (T), which pushes main [RES377] Player/Banker wagers while settling [RES377] Tie bets at 8:1 or 9:1 and appends T to BBPPPBBBBP.

[RES377-D8] Side-bet & road check for [RES377] (P4+2->6 vs B6->6, 5c): [RES377] leaves [RES377] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES377] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES377] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES377, Banker 6 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[6][2] = false.
MythBecause RES377 resolves as T, the next derived-road mark must match T's colour.
TruthDerived roads record Red (=) when Big Road structure repeats and Blue (≠) when it breaks—never Banker or Player.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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